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Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique

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  • Zhang, Jianan
  • Ma, Yuechao

Abstract

In this article, the issue of adaptive fault-tolerant (AFT) double asynchronous control for a category of switched semi-Markov jump systems (SSMJSs) is studied. Ground on the average dwell time (ADT) mechanism, a high-level switching signal is designed to adjust the change of the low-level semi-Markov chain. For two different switching rules, the double asynchronous phenomenon from the system to the controller is considered, namely, the asynchronous issue of low-level Markov jump modes and the mismatched switching when the high-level switching signals occur in the sampling interval. In addition, a new nonlinear AFT control method is proposed, which is more general than the traditional fault-tolerant model. Besides, an improved double-sided looped-functional method is constructed for sampled-data control (SDC), such that the selected Lyapunov-Krasovskii functional (LKF) can include two novel time-integral states. By using integral inequalities, the sufficient conditions for the system to be exponentially stable are obtained. In the end, the feasibility of the results is proved by comparing the results with some existing approaches through two examples.

Suggested Citation

  • Zhang, Jianan & Ma, Yuechao, 2023. "Adaptive fault-tolerant double asynchronous control for switched semi-Markov jump systems via improved memory sampled-data technique," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006963
    DOI: 10.1016/j.chaos.2023.113795
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    References listed on IDEAS

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    1. Lü, Shao-Yu & Jin, Xiao-Zheng & Wu, Xiao-Ming & Ding, Li-Jian & Chi, Jing, 2022. "Robust adaptive event-triggered fault-tolerant control for time-varying systems against perturbations and faulty actuators," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    2. Visakamoorthi, B. & Subramanian, K. & Muthukumar, P., 2022. "Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    3. Zhou, Xingyu & Tian, Yang & Wang, Haoping, 2022. "Neural network state observer-based robust adaptive fault-tolerant quantized iterative learning control for the rigid-flexible coupled robotic systems with unknown time delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    4. Yan, Zhiguo & Song, Yunxia & Liu, Xiaoping, 2018. "Finite-time stability and stabilization for Itô-type stochastic Markovian jump systems with generally uncertain transition rates," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 512-525.
    5. Wang, Jing & Liang, Kun & Huang, Xia & Wang, Zhen & Shen, Hao, 2018. "Dissipative fault-tolerant control for nonlinear singular perturbed systems with Markov jumping parameters based on slow state feedback," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 247-262.
    6. Shu, Jinlong & Wu, Baowei & Xiong, Lianglin & Wu, Tao & Zhang, Haiyang, 2021. "Stochastic stabilization of Markov jump quaternion-valued neural network using sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    7. Qi, Wenhai & Yang, Xu & Gao, Xianwen & Cheng, Jun & Kao, Yonggui & Wei, Yunliang, 2020. "Stability for delayed switched systems with Markov jump parameters and generally incomplete transition rates," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    8. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2022. "Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    9. Tian, Yufeng & Wang, Yuzhong & Ren, Junchao, 2020. "Stability analysis and control design of singular Markovian jump systems via a parameter-dependent reciprocally convex matrix inequality," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    10. Wang, Xingxing & Ma, Yuechao, 2023. "Adaptive non-fragile sliding mode control for switched semi-Markov jump system with time-delay and attack via reduced-order method," Applied Mathematics and Computation, Elsevier, vol. 440(C).
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    Cited by:

    1. Yang, Xuetao & Zhu, Quanxin, 2024. "Stabilization of stochastic nonlinear systems via double-event-triggering mechanisms and switching controls," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    2. Zhang, Liang & Liang, Jing & Feng, Zhiguang & Zhao, Ning, 2024. "Improved results of asynchronous mixed H∞ and passive control for discrete-time linear switched system with mode-dependent average dwell time," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    3. Shen, Zhihao & Zhang, Liang & Niu, Ben & Zhao, Ning, 2023. "Event-based reachable set synthesis for delayed nonlinear semi-Markov systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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